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Finding the Third Proportional to 262,199 and 574,942

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Solution

The third proportional to 262,199 and 574,942 is: 1,260,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,199 : 574,942 = 574,942 : x
  2. Step 2: Convert to fraction form
    262,199/574,942 = 574,942/x
  3. Step 3: Cross multiply
    262,199x = 574,942 × 574,942
  4. Step 4: Simplify right side
    262,199x = 330,558,303,364
  5. Step 5: Solve for x
    x = 330,558,303,364/262,199
  6. Step 6: Final answer
    x = 1,260,715.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.